Hostname: page-component-5c6d5d7d68-7tdvq Total loading time: 0 Render date: 2024-08-15T05:06:34.641Z Has data issue: false hasContentIssue false

THE MEHLER MAXIMAL FUNCTION: A GEOMETRIC PROOF OF THE WEAK TYPE 1

Published online by Cambridge University Press:  01 June 2000

TRINIDAD MENÁRGUEZ
Affiliation:
Departamento de Matemática Aplicada, ETS de Caminos, Canales y Puertos, 28040-Madrid, Spain; tmenar@pc11.caminos.upm.es
SONSOLES PÉREZ
Affiliation:
Departamento de Matemáticas, Universidad Autónoma de Madrid, 28049-Madrid, Spain; sonsoles.perez@uam.es
FERNANDO SORIA
Affiliation:
Departamento de Matemáticas, Universidad Autónoma de Madrid, 28049-Madrid, Spain; fernando.soria@uam.es
Get access

Abstract

The weak type 1 for the Mehler maximal function is studied via a precise estimate for the ‘maximal kernel’. This, in turn, allows the geometry involved in this setting to be described.

Type
Research Article
Copyright
The London Mathematical Society 2000

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)